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Finding the Fourth Proportional to 12,901.76, 19,355.52 and 3,668.48

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Solution

The fourth proportional to 12,901.76, 19,355.52 and 3,668.48 is: 5,503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.76 : 19,355.52 = 3,668.48 : x
  2. Step 2: Convert to fraction form
    12,901.76/19,355.52 = 3,668.48/x
  3. Step 3: Cross multiply
    12,901.76x = 19,355.52 × 3,668.48
  4. Step 4: Simplify right side
    12,901.76x = 71,005,338.01
  5. Step 5: Solve for x
    x = 71,005,338.01/12,901.76
  6. Step 6: Final answer
    x = 5,503.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.